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Finding the Fourth Proportional to 10,788, 14,893.92 and 7,068.48

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Solution

The fourth proportional to 10,788, 14,893.92 and 7,068.48 is: 9,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788 : 14,893.92 = 7,068.48 : x
  2. Step 2: Convert to fraction form
    10,788/14,893.92 = 7,068.48/x
  3. Step 3: Cross multiply
    10,788x = 14,893.92 × 7,068.48
  4. Step 4: Simplify right side
    10,788x = 105,277,375.64
  5. Step 5: Solve for x
    x = 105,277,375.64/10,788
  6. Step 6: Final answer
    x = 9,758.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.